Firm-worker hypergraphs
arXiv:2211.06887
Abstract
A firm-worker hypergraph consists of edges in which each edge joins a firm and its possible employees. We show that a stable matching exists in both many-to-one matching with transferable utilities and discrete many-to-one matching when the firm-worker hypergraph has no nontrivial odd-length cycle. Firms' preferences satisfying this condition arise in a problem of matching specialized firms with specialists.
arXiv commentMinor revision